10252000 has 96 divisors (see below), whose sum is σ = 27597024. Its totient is φ = 3712000.

The previous prime is 10251977. The next prime is 10252007. The reversal of 10252000 is 25201.

10252000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43884 + ... + 44116.

It is an arithmetic number, because the mean of its divisors is an integer number (287469).

Almost surely, 2^10252000 is an apocalyptic number.

10252000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13798512).

10252000 is an abundant number, since it is smaller than the sum of its proper divisors (17345024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10252000 is a wasteful number, since it uses less digits than its factorization.

10252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 10252000 is about 3201.8744510052. The cubic root of 10252000 is about 217.2382017647.

Adding to 10252000 its reverse (25201), we get a palindrome (10277201).

It can be divided in two parts, 1025 and 2000, that added together give a square (3025 = 55²).

The spelling of 10252000 in words is "ten million, two hundred fifty-two thousand".